7+(x-3)*4=15-[x-(2x-4)*3]

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Solution for 7+(x-3)*4=15-[x-(2x-4)*3] equation:


Simplifying
7 + (x + -3) * 4 = 15 + -1[x + -1(2x + -4) * 3]

Reorder the terms:
7 + (-3 + x) * 4 = 15 + -1[x + -1(2x + -4) * 3]

Reorder the terms for easier multiplication:
7 + 4(-3 + x) = 15 + -1[x + -1(2x + -4) * 3]
7 + (-3 * 4 + x * 4) = 15 + -1[x + -1(2x + -4) * 3]
7 + (-12 + 4x) = 15 + -1[x + -1(2x + -4) * 3]

Combine like terms: 7 + -12 = -5
-5 + 4x = 15 + -1[x + -1(2x + -4) * 3]

Reorder the terms:
-5 + 4x = 15 + -1[x + -1(-4 + 2x) * 3]

Reorder the terms for easier multiplication:
-5 + 4x = 15 + -1[x + -1 * 3(-4 + 2x)]

Multiply -1 * 3
-5 + 4x = 15 + -1[x + -3(-4 + 2x)]
-5 + 4x = 15 + -1[x + (-4 * -3 + 2x * -3)]
-5 + 4x = 15 + -1[x + (12 + -6x)]

Reorder the terms:
-5 + 4x = 15 + -1[12 + x + -6x]

Combine like terms: x + -6x = -5x
-5 + 4x = 15 + -1[12 + -5x]
-5 + 4x = 15 + [12 * -1 + -5x * -1]
-5 + 4x = 15 + [-12 + 5x]

Combine like terms: 15 + -12 = 3
-5 + 4x = 3 + 5x

Solving
-5 + 4x = 3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-5 + 4x + -5x = 3 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-5 + -1x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-5 + -1x = 3 + 0
-5 + -1x = 3

Add '5' to each side of the equation.
-5 + 5 + -1x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 3 + 5
-1x = 3 + 5

Combine like terms: 3 + 5 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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