-7x+23=3-2(4x-7)

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Solution for -7x+23=3-2(4x-7) equation:


Simplifying
-7x + 23 = 3 + -2(4x + -7)

Reorder the terms:
23 + -7x = 3 + -2(4x + -7)

Reorder the terms:
23 + -7x = 3 + -2(-7 + 4x)
23 + -7x = 3 + (-7 * -2 + 4x * -2)
23 + -7x = 3 + (14 + -8x)

Combine like terms: 3 + 14 = 17
23 + -7x = 17 + -8x

Solving
23 + -7x = 17 + -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.
23 + -7x + 8x = 17 + -8x + 8x

Combine like terms: -7x + 8x = 1x
23 + 1x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
23 + 1x = 17 + 0
23 + 1x = 17

Add '-23' to each side of the equation.
23 + -23 + 1x = 17 + -23

Combine like terms: 23 + -23 = 0
0 + 1x = 17 + -23
1x = 17 + -23

Combine like terms: 17 + -23 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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