7(x-1)=-2(-4x+3)

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Solution for 7(x-1)=-2(-4x+3) equation:


Simplifying
7(x + -1) = -2(-4x + 3)

Reorder the terms:
7(-1 + x) = -2(-4x + 3)
(-1 * 7 + x * 7) = -2(-4x + 3)
(-7 + 7x) = -2(-4x + 3)

Reorder the terms:
-7 + 7x = -2(3 + -4x)
-7 + 7x = (3 * -2 + -4x * -2)
-7 + 7x = (-6 + 8x)

Solving
-7 + 7x = -6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 7x + -8x = -6 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-7 + -1x = -6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -1x = -6 + 0
-7 + -1x = -6

Add '7' to each side of the equation.
-7 + 7 + -1x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -6 + 7
-1x = -6 + 7

Combine like terms: -6 + 7 = 1
-1x = 1

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

Simplifying
x = -1

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