4(x-7)-8=-3(-7x+6)-7x

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Solution for 4(x-7)-8=-3(-7x+6)-7x equation:


Simplifying
4(x + -7) + -8 = -3(-7x + 6) + -7x

Reorder the terms:
4(-7 + x) + -8 = -3(-7x + 6) + -7x
(-7 * 4 + x * 4) + -8 = -3(-7x + 6) + -7x
(-28 + 4x) + -8 = -3(-7x + 6) + -7x

Reorder the terms:
-28 + -8 + 4x = -3(-7x + 6) + -7x

Combine like terms: -28 + -8 = -36
-36 + 4x = -3(-7x + 6) + -7x

Reorder the terms:
-36 + 4x = -3(6 + -7x) + -7x
-36 + 4x = (6 * -3 + -7x * -3) + -7x
-36 + 4x = (-18 + 21x) + -7x

Combine like terms: 21x + -7x = 14x
-36 + 4x = -18 + 14x

Solving
-36 + 4x = -18 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-36 + 4x + -14x = -18 + 14x + -14x

Combine like terms: 4x + -14x = -10x
-36 + -10x = -18 + 14x + -14x

Combine like terms: 14x + -14x = 0
-36 + -10x = -18 + 0
-36 + -10x = -18

Add '36' to each side of the equation.
-36 + 36 + -10x = -18 + 36

Combine like terms: -36 + 36 = 0
0 + -10x = -18 + 36
-10x = -18 + 36

Combine like terms: -18 + 36 = 18
-10x = 18

Divide each side by '-10'.
x = -1.8

Simplifying
x = -1.8

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