5(x-6)+4=7(x-2)-10

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Solution for 5(x-6)+4=7(x-2)-10 equation:


Simplifying
5(x + -6) + 4 = 7(x + -2) + -10

Reorder the terms:
5(-6 + x) + 4 = 7(x + -2) + -10
(-6 * 5 + x * 5) + 4 = 7(x + -2) + -10
(-30 + 5x) + 4 = 7(x + -2) + -10

Reorder the terms:
-30 + 4 + 5x = 7(x + -2) + -10

Combine like terms: -30 + 4 = -26
-26 + 5x = 7(x + -2) + -10

Reorder the terms:
-26 + 5x = 7(-2 + x) + -10
-26 + 5x = (-2 * 7 + x * 7) + -10
-26 + 5x = (-14 + 7x) + -10

Reorder the terms:
-26 + 5x = -14 + -10 + 7x

Combine like terms: -14 + -10 = -24
-26 + 5x = -24 + 7x

Solving
-26 + 5x = -24 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-26 + 5x + -7x = -24 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-26 + -2x = -24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-26 + -2x = -24 + 0
-26 + -2x = -24

Add '26' to each side of the equation.
-26 + 26 + -2x = -24 + 26

Combine like terms: -26 + 26 = 0
0 + -2x = -24 + 26
-2x = -24 + 26

Combine like terms: -24 + 26 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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