7(x-6)+4x-6=4(x-8)+15x

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Solution for 7(x-6)+4x-6=4(x-8)+15x equation:


Simplifying
7(x + -6) + 4x + -6 = 4(x + -8) + 15x

Reorder the terms:
7(-6 + x) + 4x + -6 = 4(x + -8) + 15x
(-6 * 7 + x * 7) + 4x + -6 = 4(x + -8) + 15x
(-42 + 7x) + 4x + -6 = 4(x + -8) + 15x

Reorder the terms:
-42 + -6 + 7x + 4x = 4(x + -8) + 15x

Combine like terms: -42 + -6 = -48
-48 + 7x + 4x = 4(x + -8) + 15x

Combine like terms: 7x + 4x = 11x
-48 + 11x = 4(x + -8) + 15x

Reorder the terms:
-48 + 11x = 4(-8 + x) + 15x
-48 + 11x = (-8 * 4 + x * 4) + 15x
-48 + 11x = (-32 + 4x) + 15x

Combine like terms: 4x + 15x = 19x
-48 + 11x = -32 + 19x

Solving
-48 + 11x = -32 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-48 + 11x + -19x = -32 + 19x + -19x

Combine like terms: 11x + -19x = -8x
-48 + -8x = -32 + 19x + -19x

Combine like terms: 19x + -19x = 0
-48 + -8x = -32 + 0
-48 + -8x = -32

Add '48' to each side of the equation.
-48 + 48 + -8x = -32 + 48

Combine like terms: -48 + 48 = 0
0 + -8x = -32 + 48
-8x = -32 + 48

Combine like terms: -32 + 48 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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