Question

a. -6(x-1)+3(3+4x)=10x
b. 3(3x+1)-x+7=2(x-1)
c. 2x+21=3x-6
d. 12(x-2)=1-x
e. x+5x-4=18-2x
f. 3x-2+7x=7-1
e. 4(2x+3)-2x=4x+20
g. 34=3x-6+2x
h. 7x+4=10-3x
i. 2x+3=-x
j, 45-x=4x+25

Answer 1

Explicación paso a paso:

$a) \\ - 6(x - 1) + 3(3 + 4x) = 10x \\ - 6x + 6 + 9 + 12x = 10x \\ 6x + 15 = 10x \\ 6x - 10x = - 15 \\ - 4x = - 15 \\ x = \frac{15}{4}$

$b) \\ 3(3x + 1) + x + 7 = 2(x - 1) \\ 9x + 3 + x + 7 = 2x - 2 \\ 10x + 10 = 2x - 2 \\ 10x - 2x = - 2 - 10 \\ 8x = - 12 \\ x = - \frac{12}{8} \\ \\ x = - \frac{3}{2}$

$c) \\ 2x + 21 = 3x - 6 \\ 2x - 3x = - 6 - 21 \\ - x = - 27 \\ x = 27$

$d) \\ 12(x - 2) = 1 - x \\ 12x - 24 = 1 - x \\ 12x + x = 1 + 24 \\ 13x = 25 \\ x = \frac{25}{13}$

$e) \\ x + 5x - 4 = 18 - 2x \\ 6x - 4 = 18 - 2x \\ 6x + 2x = 18 + 4 \\ 8x = 22 \\ x = \frac{22}{8} \\ \\ x = \frac{11}{4}$

$f) \\ 3x - 2 + 7x = 7 - 1 \\ 10x - 2 = 6 \\ 10x = 6 + 2 \\ 10x = 8 \\ x = \frac{8}{10} \\ \\ x = \frac{4}{5}$

$e) \\ 4(2x + 3) - 2x = 4x + 20 \\ 8x + 12 - 2x = 4x + 20 \\ 6x + 12 = 4x + 20 \\ 6x - 4x = 20 - 12 \\ 2x = 8 \\ x = 8 \div 2 \\ x = 4$

$g) \\ 34 = 3x - 6 + 2x \\ 34 + 6 = 5x \\ 40 = 5x \\ \frac{40}{5} = x \\ 8 = x$

$h) \\ 7x + 4 = 10 - 3x \\ 7x + 3x = 10 - 4 \\ 10x = 6 \\ x = \frac{6}{10} \\ \\ x = \frac{3}{5}$

$i) \\ 2x + 3 = - x \\ 2x + x = - 3 \\ 3x = - 3 \\ x = - 3 \div 3 \\ x = - 1$

$j) \\ 45 - x = 4x + 25 \\ - x - 4x = 25 - 45 \\ - 5x = - 20 \\ x = \frac{20}{5} \\ \\ x = 4$