(2x+3)4+7(x-2)-30=-2(-x+6)-15

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Solution for (2x+3)4+7(x-2)-30=-2(-x+6)-15 equation:


Simplifying
(2x + 3) * 4 + 7(x + -2) + -30 = -2(-1x + 6) + -15

Reorder the terms:
(3 + 2x) * 4 + 7(x + -2) + -30 = -2(-1x + 6) + -15

Reorder the terms for easier multiplication:
4(3 + 2x) + 7(x + -2) + -30 = -2(-1x + 6) + -15
(3 * 4 + 2x * 4) + 7(x + -2) + -30 = -2(-1x + 6) + -15
(12 + 8x) + 7(x + -2) + -30 = -2(-1x + 6) + -15

Reorder the terms:
12 + 8x + 7(-2 + x) + -30 = -2(-1x + 6) + -15
12 + 8x + (-2 * 7 + x * 7) + -30 = -2(-1x + 6) + -15
12 + 8x + (-14 + 7x) + -30 = -2(-1x + 6) + -15

Reorder the terms:
12 + -14 + -30 + 8x + 7x = -2(-1x + 6) + -15

Combine like terms: 12 + -14 = -2
-2 + -30 + 8x + 7x = -2(-1x + 6) + -15

Combine like terms: -2 + -30 = -32
-32 + 8x + 7x = -2(-1x + 6) + -15

Combine like terms: 8x + 7x = 15x
-32 + 15x = -2(-1x + 6) + -15

Reorder the terms:
-32 + 15x = -2(6 + -1x) + -15
-32 + 15x = (6 * -2 + -1x * -2) + -15
-32 + 15x = (-12 + 2x) + -15

Reorder the terms:
-32 + 15x = -12 + -15 + 2x

Combine like terms: -12 + -15 = -27
-32 + 15x = -27 + 2x

Solving
-32 + 15x = -27 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-32 + 15x + -2x = -27 + 2x + -2x

Combine like terms: 15x + -2x = 13x
-32 + 13x = -27 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 13x = -27 + 0
-32 + 13x = -27

Add '32' to each side of the equation.
-32 + 32 + 13x = -27 + 32

Combine like terms: -32 + 32 = 0
0 + 13x = -27 + 32
13x = -27 + 32

Combine like terms: -27 + 32 = 5
13x = 5

Divide each side by '13'.
x = 0.3846153846

Simplifying
x = 0.3846153846

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