4(2x-3)+5=7x-12

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Solution for 4(2x-3)+5=7x-12 equation:


Simplifying
4(2x + -3) + 5 = 7x + -12

Reorder the terms:
4(-3 + 2x) + 5 = 7x + -12
(-3 * 4 + 2x * 4) + 5 = 7x + -12
(-12 + 8x) + 5 = 7x + -12

Reorder the terms:
-12 + 5 + 8x = 7x + -12

Combine like terms: -12 + 5 = -7
-7 + 8x = 7x + -12

Reorder the terms:
-7 + 8x = -12 + 7x

Solving
-7 + 8x = -12 + 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.
-7 + 8x + -7x = -12 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-7 + 1x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + 1x = -12 + 0
-7 + 1x = -12

Add '7' to each side of the equation.
-7 + 7 + 1x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -12 + 7
1x = -12 + 7

Combine like terms: -12 + 7 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5

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