4(3x-5)-2=5(x-7)+6

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Solution for 4(3x-5)-2=5(x-7)+6 equation:


Simplifying
4(3x + -5) + -2 = 5(x + -7) + 6

Reorder the terms:
4(-5 + 3x) + -2 = 5(x + -7) + 6
(-5 * 4 + 3x * 4) + -2 = 5(x + -7) + 6
(-20 + 12x) + -2 = 5(x + -7) + 6

Reorder the terms:
-20 + -2 + 12x = 5(x + -7) + 6

Combine like terms: -20 + -2 = -22
-22 + 12x = 5(x + -7) + 6

Reorder the terms:
-22 + 12x = 5(-7 + x) + 6
-22 + 12x = (-7 * 5 + x * 5) + 6
-22 + 12x = (-35 + 5x) + 6

Reorder the terms:
-22 + 12x = -35 + 6 + 5x

Combine like terms: -35 + 6 = -29
-22 + 12x = -29 + 5x

Solving
-22 + 12x = -29 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
-22 + 12x + -5x = -29 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-22 + 7x = -29 + 5x + -5x

Combine like terms: 5x + -5x = 0
-22 + 7x = -29 + 0
-22 + 7x = -29

Add '22' to each side of the equation.
-22 + 22 + 7x = -29 + 22

Combine like terms: -22 + 22 = 0
0 + 7x = -29 + 22
7x = -29 + 22

Combine like terms: -29 + 22 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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