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

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


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

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

Reorder the terms:
-6 + 7 + 2x = 4(x + 1) + -2

Combine like terms: -6 + 7 = 1
1 + 2x = 4(x + 1) + -2

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

Reorder the terms:
1 + 2x = 4 + -2 + 4x

Combine like terms: 4 + -2 = 2
1 + 2x = 2 + 4x

Solving
1 + 2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 2x + -4x = 2 + 4x + -4x

Combine like terms: 2x + -4x = -2x
1 + -2x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -2x = 2 + 0
1 + -2x = 2

Add '-1' to each side of the equation.
1 + -1 + -2x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 2 + -1
-2x = 2 + -1

Combine like terms: 2 + -1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

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